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Finding the Fourth Proportional to 1,013.94, 1,398.85 and 777.93

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Solution

The fourth proportional to 1,013.94, 1,398.85 and 777.93 is: 1,073.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.94 : 1,398.85 = 777.93 : x
  2. Step 2: Convert to fraction form
    1,013.94/1,398.85 = 777.93/x
  3. Step 3: Cross multiply
    1,013.94x = 1,398.85 × 777.93
  4. Step 4: Simplify right side
    1,013.94x = 1,088,207.38
  5. Step 5: Solve for x
    x = 1,088,207.38/1,013.94
  6. Step 6: Final answer
    x = 1,073.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.